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  1. 5

    how do i integrate t*e^(kt)dt from 0 to infinity?

    by parts: u= t ---> du = dt dv = e^(kt) dt ----> v= 1/k e^kt uv - int v du = t/k e^kt - int 1/k e^kt dt = t/k e^kt - 1/k^2 e^kt + c for the given limits the answer is infinity
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